Table Of ContentNORTH-HOLLAND SERIES IN
STATISTICS AND
PROBABILITY
EDITORS:
C.R. RAO
The Pennsylvania State University, University Park, PA, U.SA.
M. ROSENBLATT
University of California, San Diego, CA, U.SA.
Y.A. ROZANOV
Formerly, Academy of Sciences of the U.S.SÄ. Moscow
VOLUME 7
NORTH-HOLLAND
AMSTERDAM · LONDON · NEW YORK · TOKYO
MULTIVARIATE ANALYSIS:
FUTURE DIRECTIONS 2
EDITORS:
CM. CUADRAS
Departament d'Estadistica, Universität de Barcelona, Barcelona, Spain
C.R. RAO
The Pennsylvania State University, University Park, PA, U.SA.
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m
1993
NORTH-HOLLAND
AMSTERDAM · LONDON · NEW YORK · TOKYO
North-Holland
ELSEVIER SCIENCE PUBLISHERS B.V.
P.O. Box 211,1000 AE Amsterdam, The Netherlands
ISBN: 0 444 81531 7
© 1993 ELSEVIER SCIENCE PUBLISHERS B.V. All rights reserved.
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Printed on acid-free paper
Printed in the Netherlands
Dedicated to the memory of
Ronald Aylmer Fisher (1890-1962)
Preface
This volume contains the invited papers presented at the Seventh Interna
tional Conference on Multivariate Analysis, Barcelona meeting, which has
been the seventh in a series of international conferences on Multivariate Anal
ysis started by the late P.R. Krishnaiah. The conference took place in three
countries (USA, Spain and India) in 1992, and was the forum for discussion
by outstanding specialists. The Barcelona meeting was organized in memory
of R. A. Fisher. The main themes were: (1) discriminant analysis, prediction
and classification; (2) latent variable models; (3) correspondence analysis and
related topics; and (4) differential geometry applications.
Multivariate statistical analysis is an indispensable tool in applied research
and there has been an upsurge of activity in recent times to enrich the mul
tivariate statistical methodology in response to the demands from research
workers in various disciplines. With the help of modern computers and soft
ware packages we are now able to handle large dimensional data sets, which
has given an additional dimension to practical applications of multivariate
analysis. The earliest research in multivariate analysis centered round con
tinuous variables having a multivariate normal distribution or categorical data
on a small number of attributes. The current multivariate statistical repertoire
covers a wide variety of situations involving both continuous and categorical
variables and non-normal models. The present volume contains contributions
by distinguished statisticians in several frontier areas of research in multivari
ate analysis. The topics covered include discriminant analysis, classification,
multidimensional scaling, categorical data analysis, correspondence analysis
and biplots, association analysis, latent variables modeling, bootstrap analysis,
conditional models and differential geometric applications. Most of the papers
provide new perspectives on the well known topics, introduce and develop new
ideas and suggest problems for future research.
The contents of this volume would be of great interest for statisticians, prob-
abilists, data analysts and scientists working in the disciplines such as biology,
biometry, ecology, medicine, econometry, psychometry and marketing. It will
be a valuable guide to professors, researchers and graduate students seeking
new and promising lines of statistical research.
Vlll Preface
As editors of this volume and also organizers of the Conference, we wish to
express our gratitude to the authors for their kind cooperation; to the mem
bers of the local committee, T. Aluja, E. Bonet, J. del Castillo, J. Ocana, J.M.
Oiler, E. Ripoll and A. Satorra; to F. Armengol, M. Cuadras, M.C. Pallejä, E.
Nadal and E. Zimmerman for their administrative support; to C. Arenas, A.
Bartkowiak, M. Calvo, F. Carmona and J. Fortiana for their computer assis
tance; to A. Bonet and N. Hladun for allowing us to use rooms and buildings
at the Faculty of Biology; to J. Dirmaat, A.H.E. Frank and G.L. Wanrooy for
their help in preparing this volume for publication in the North-Holland Se
ries in Statistics and Probability; to C. Cuomo and R. Rycroft for his language
advice; and to those who made possible the final presentation of this book,
especially M. Aircart, W.J. Maas and J.M. Oiler.
The conference was sponsored by four universities: Universität de Barcelona,
Universität Pompeu Fabra, Universität Politecnica de Catalunya and Universi
tät Autonoma de Barcelona; we are indebted to their Rectors and vice-Rectors
of Research. Other important sponsors have been the Ministerio de Edu-
caciony Ciencia, the CIRIT and, especially, the Institut d'Estadistica de Cata
lunya which provided the logistic support. Finally, thanks are also due to L.
Daufi of Ciba-Geigy (Barcelona), E. Gil of Libreria Rubinos (Madrid) and
M. Joaniquet of Editorial PPU for their support.
CM. Cuadras and C.R. Rao
List of contributors
ALUJA-BANET, Tomas BARNDORFF-NIELSEN, O.
Departement d'Estadistica LO. Mathematik Institute
Facultat d'Informätica de Barcelona (UPC) Aarhus Universitet
c. Pau Gargallo 5 8000 Aarhus C
08028 Barcelona DENMARK
SPAIN
AMARI, Shun-ichi BENTLER, Peter M.
Faculty of Engineering Department of Psychology
University of Tokyo University of California
Bunkyo-ku, Tokyo 113 405 Hilgard Avenue
JAPAN Los Angeles, CA 90024-1555
U.S.A.
AMEMIYA, Yasuo
Department of Statistics
BERKANE, Maia
Snedecor Hall
University of California
Iowa State University
405 Hilgard Avenue
Ames, IA 50011-1210
Los Angeles, CA 90024-1555
U.S.A.
U.S.A.
ARMINGER, Gerhard
Department of Economics
BROWNE, Michael W
Bergische Universität
Department of Psychology
Gaußstr. 20
Ohio State University, Townsend Hall
5600 Wuppertal
1885 Neil Avenue Mall
GERMANY
Columbus, OH 43210-1222
ARNOLD, B.C. U.S.A.
Department of Statistics
University of California
CAUGIURI, Paula M.
Riverside, CA 92521-0138
Department of Psychology
U.S.A.
The Pennsylvania State University
University Park, PA 16802
BACCINI, A
U.S.A.
Laboratoire de Statistique et Probabilites
URA-CNRS D0745
Universite Paul Sabatier CAMPBELL, L.Lome
118, route de Narbonne, Department of Mathematics & Statistics
31062 Toulouse cedex Queen's University at Kingston
FRANCE Kingston, Ontario, Qld. K7L 3N6
CANADA
XIV List of contributors
CASTILLO, Enrique DEL CASTILLO, Joan
Departamento de Matemätica Aplicada Departement de Matemätiques
y Ciencias de la Computacion Universität Autonoma de Barcelona
Universidad de Cantabria 08193 Bellaterra, Barcelona
Avda. de los Castros s/n SPAIN
39005 Santander
SPAIN EFRON, B.
Department of Statistics
CAUSSINUS, H. Stanford University
Laboratoire de Statistique et Probabilites Sequoia Hall
URA-CNRS D0745 Stanford, CA 94305
Universite Paul Sabatier U.S.A.
118, route de Narbonne,
31062 Toulouse cedex FORD, Ian
FRANCE Department of Statistics
University of Glasgow
Glasgow G12 8QQ
CIAMPI, Antonio
The McGill University SCOTLAND
Montreal Children's Hospital
FORTIANA, J.
Montreal, Quebec, H3H 1P3
Departament d'Estadistica
CANADA
Universität de Barcelona
08028 Barcelona
CRTTCHLEY, Frank
SPAIN
Department of Statistics
University of Warwick
GOODMAN, Leo A.
Coventry CV4 7AL
Department of Statistics
UNITED KINGDOM
University of California
Berkeley, CA 94720
CUADRAS, CM.
U.S.A.
Departement d'Estadistica
Universität de Barcelona
GOWER, J.C.
08028 Barcelona
2 Garden Court
SPAIN
Wheathampstead
Herts., AL4 8RE
DE FALGUEROLLES, A. UNITED KINGDOM
Laboratoire de Statistique et Probabilites
URA-CNRS D0745 GREENACRE, Michael J.
Universite Paul Sabatier Department of Statistics
118, route de Narbonne, University of South Africa
31062 Toulouse cedex P.O. Box 392
FRANCE Pretoria 0001
SOUTH AFRICA
DE LEEUW, Jan
Department of Mathematics and Psychol HENDRICKS, Lisa
ogy Department of Epidemiology and Biostatis -
University of California tics
405 Hilgard Avenue McGill University
Los Angeles, CA 90024-1555 Montreal P.Q.
U.S.A. CANADA
List of contributors XV
HIRST, David MIRKIN, B.G.
Scottish Agricultural Statistical Service Department of Applied Statistics and Infor
Hannah Research Institute matics
Ayr KA6 5HL Central Economics-Mathematics Institute of
SCOTLAND Russian Academy of Sciences
Moscow
JUPP, Peter E. RUSSIA
Department of Mathematical Sciences
University of St. Andrews MORALES, D.
Mathematical Institute, North Haugh Departamento de Estadistica e I.O.
St. Andrews, Fife, KYI6 9SS Facultad de Matemäticas
UNITED KINGDOM Universidad Complutense de Madrid
28040 Madrid
KIERS, Henk A.L. SPAIN
Department of Psychology
University of Groningen MUTHEN, Bengt
Grote Kruisstraat 2/1 Graduate School of Education
9712 TS Groningen University of California
THE NETHERLANDS 805 Hilgard Avenue
Los Angeles, CA 90024-1521
KRZANOWSKI, W.J. U.S.A.
Mathematical Statistics
and Operations Research Department NONELL-TORRENT, Ramon
University of Exeter Laver Building Departement d'Estadistica I.O.
North Park Road Facultat d'Informatica de Barcelona (UPC)
Exeter EX4 4QE c. Pau Gargallo 5
UNITED KINGDOM 08028 Barcelona
SPAIN
LEB ART, L.
Centre National de la Recherche Scien- OLLER, Josep M.
tifique Departement d'Estadistica
Ecole Nationale Superieure Universität de Barcelona
des Telecommunications ENST 08028 Barcelona
46, rue Barrault SPAIN
F-75013 Paris
FRANCE PARDO. L.
Departamento de Estadistica e I.O.
LOU, Zhiyi Facultad de Ciencias Matemäticas
Department of Epidemiology and Biostatis- Universidad Complutense de Madrid
tics 28040 Madrid
McGill University SPAIN
Montreal P.Q.
CANADA RAO, C. Radhakrishna
Center for Multivariate Analysis
MENENDEZ, M.L. Department of Statistics, 417 Classroom
Departamento de Matemätica Aplicada Bldg.
E.T.S. de Arquitectura The Pennsylvania State University
Universidad Politecnica Madrid 121 Electrical Engineering East
28049 Madrid University Park, PA 16802
SPAIN U.S.A.
XVI List of contributors
SALICRU, M. SATORRA, Albert
Departament d'Estadistica Departament d'Economia
Universität de Barcelona Universität Pompeu Fabra
08028 Barcelona Balmes 132
SPAIN 08008 Barcelona
SPAIN
SARABIA, Jose Maria
Departamento de Economia
Avda. de los Castros s/n
39005 Santander
SPAIN
